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Simplifying -3(-8 + -2z) = 3z (-8 * -3 + -2z * -3) = 3z (24 + 6z) = 3z Solving 24 + 6z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 24 + 6z + -3z = 3z + -3z Combine like terms: 6z + -3z = 3z 24 + 3z = 3z + -3z Combine like terms: 3z + -3z = 0 24 + 3z = 0 Add '-24' to each side of the equation. 24 + -24 + 3z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3z = 0 + -24 3z = 0 + -24 Combine like terms: 0 + -24 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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